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Finding the Fourth Proportional to 378.10, 524.19 and 364.73

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Solution

The fourth proportional to 378.10, 524.19 and 364.73 is: 505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.10 : 524.19 = 364.73 : x
  2. Step 2: Convert to fraction form
    378.10/524.19 = 364.73/x
  3. Step 3: Cross multiply
    378.10x = 524.19 × 364.73
  4. Step 4: Simplify right side
    378.10x = 191,187.82
  5. Step 5: Solve for x
    x = 191,187.82/378.10
  6. Step 6: Final answer
    x = 505.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.